Atkin-Lehner |
2+ 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10944d |
Isogeny class |
Conductor |
10944 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
232835088384 = 215 · 39 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 -6 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1836,19440] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:216:1] |
Generators of the group modulo torsion |
j |
1061208/361 |
j-invariant |
L |
2.9299825464309 |
L(r)(E,1)/r! |
Ω |
0.91226688274171 |
Real period |
R |
0.80294007210509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10944h2 5472q2 10944c2 |
Quadratic twists by: -4 8 -3 |